Historically, voter turnout for political elections in texas has been reported to be 54%. you have been assigned by a polling company to test the hypothesis that voter turnout during the most recent election was higher than 54%. you have collected a random sample of 90 registered voters from this election and found that 54 actually voted. use the critical value approach to test this hypothesis with α = 0.02. it is given that the sample mean x=54, the sample size n=90 establish the null and alternative hypotheses as such: h0: μ=54 ha: μ> 54

50.29 square inches.

Step-by-step explanation:

Given:

Sara is cutting circles out of pieces of cardboard.

She uses a rectangular piece of cardboard that is 8 inches by 10 inches.

Question asked:

What is the area of the largest circle she could make?

Solution:

Here given length of piece of cardboard is 10 inches and breadth is 8 inches, to draw the largest circle, we have to draw the circle touching the boundary of the breadth of the rectangular cardboard and hence breadth will be considered as diameter and it will be the maximum diameter of the circle.

Now, we will find the area of the largest circle by taking breadth as the maximum possible diameter:

Breadth = Diameter = 8 inches  ( given )

Radius = half of diameter ,

Therefore, area of the largest circle  she could make is 50.29 square inches.